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Finding the Fourth Proportional to 1,393.40, 2,089.70 and 515.77

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Solution

The fourth proportional to 1,393.40, 2,089.70 and 515.77 is: 773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.40 : 2,089.70 = 515.77 : x
  2. Step 2: Convert to fraction form
    1,393.40/2,089.70 = 515.77/x
  3. Step 3: Cross multiply
    1,393.40x = 2,089.70 × 515.77
  4. Step 4: Simplify right side
    1,393.40x = 1,077,798.70
  5. Step 5: Solve for x
    x = 1,077,798.70/1,393.40
  6. Step 6: Final answer
    x = 773.50

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.